# Stored data for newform 75.13.d.b, downloaded from the LMFDB on 10 September 2026.
{"Nk2": 12675, "analytic_conductor": 68.54953629572141, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 15, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [75, 2, [26, 52], [1, 1]], "cm_discs": [], "conrey_index": 74, "dim": 4, "field_disc": 43264, "field_disc_factorization": [[2, 8], [13, 2]], "field_poly": [169, 0, 0, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[2, [-8424, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503806003904587, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 405000, "hecke_ring_index_factorization": [[2, 3], [3, 4], [5, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0]], "is_cm": false, 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